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Finding the Fourth Proportional to 971.41, 1,456.61 and 508.06

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Solution

The fourth proportional to 971.41, 1,456.61 and 508.06 is: 761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.41 : 1,456.61 = 508.06 : x
  2. Step 2: Convert to fraction form
    971.41/1,456.61 = 508.06/x
  3. Step 3: Cross multiply
    971.41x = 1,456.61 × 508.06
  4. Step 4: Simplify right side
    971.41x = 740,045.28
  5. Step 5: Solve for x
    x = 740,045.28/971.41
  6. Step 6: Final answer
    x = 761.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.